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Finding the Fourth Proportional to 90.66, 135.91 and 32.86

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Solution

The fourth proportional to 90.66, 135.91 and 32.86 is: 49.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.66 : 135.91 = 32.86 : x
  2. Step 2: Convert to fraction form
    90.66/135.91 = 32.86/x
  3. Step 3: Cross multiply
    90.66x = 135.91 × 32.86
  4. Step 4: Simplify right side
    90.66x = 4,465.58
  5. Step 5: Solve for x
    x = 4,465.58/90.66
  6. Step 6: Final answer
    x = 49.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.